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Finding the Fourth Proportional to 1,524.22, 2,284.96 and 702.73

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Solution

The fourth proportional to 1,524.22, 2,284.96 and 702.73 is: 1,053.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.22 : 2,284.96 = 702.73 : x
  2. Step 2: Convert to fraction form
    1,524.22/2,284.96 = 702.73/x
  3. Step 3: Cross multiply
    1,524.22x = 2,284.96 × 702.73
  4. Step 4: Simplify right side
    1,524.22x = 1,605,699.50
  5. Step 5: Solve for x
    x = 1,605,699.50/1,524.22
  6. Step 6: Final answer
    x = 1,053.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.